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Integrity of quasi-total graphs
B. Basavanagoud,P. Jakkannavar,I. N. Cangul 장전수학회 2020 Proceedings of the Jangjeon mathematical society Vol.23 No.4
A communication network can be considered to be highly vulnerable to dis- ruption if the failure of few members can result in no member's being able to communicate with very many others. This idea suggests the concept of the integrity of a graph. The integrity I(G) of a graph G is defined as I(G) = minS⊂V(G){|S|+m(G-S)} where m(G-S)denotes the order of the largest component of G-S. In this paper, we obtain the integrity of quasi-total graph of some standard graph families and combinations of these graphs. Further, we establish some relations connecting the integrity of some graph families and integrity of their quasi-total graphs.
k-trees and some graph operators
B. Basavanagoud,K. G. Marajkar 장전수학회 2008 Proceedings of the Jangjeon mathematical society Vol.11 No.1
In this paper, we charactrize those graphs whose plick graphs are k-trees ; k ≤ 4 and also show that plick graphs are not k-trees; k ≥ 5. Further we also characterize those graphs whose lict graphs are k-trees ; k ≥ 2 and also establish characterization for semi-total block graph to be k-tree ; k ≥ 1 and total-block graph to be k-tree ; k ≥ 2.
COMPUTATION OF SOMBOR INDICES OF OTIS(BISWAPPED) NETWORKS
B. Basavanagoud,Goutam Veerapur 충청수학회 2022 충청수학회지 Vol.35 No.3
In this paper, we derive analytical closed results for the first (a, b)-K A index, the Sombor index, the modified Sombor index, the first reduced (a, b)-K A index, the reduced Sombor index, the reduced modified Sombor index, the second reduced (a, b)-K A index and the mean Sombor index mSOα for the OTIS biswapped networks by considering basis graphs as path, wheel graph, com- plete bipartite graph and r − regular graphs. Network theory plays a significant role in electronic and electrical engineering, such as signal processing, networking, communication theory, and so on. A topological index (TI) is a real number associated with graph net- works that correlates chemical networks with a variety of physical and chemical properties as well as chemical reactivity. The Opti- cal Transpose Interconnection System (OTIS) network has recently received increased interest due to its potential uses in parallel and distributed systems.
Hub number of some wheel related graphs
B. Basavanagoud,Anand P. Barangi,Ismail Naci CANGUL 장전수학회 2020 Advanced Studies in Contemporary Mathematics Vol.30 No.3
A hub set in a graph G is a set S V (G) such that any two vertices outside S are connected by a path all of whose internal vertices are members of S. The minimum cardinality of a hub set is called hub number. In this paper, we give results for the hub number of some wheel related graphs.
Patil Suvarna,Bashasab Fakrudin,Vijaykumar Vijaykumar,Basavanagoud Basavanagoud,Kuruvinashetti Mahaling S,Patil Basavaraj V Korean Society of Applied Entomology 2006 Journal of Asia-Pacific Entomology Vol.9 No.3
The genetic relatedness among Helicoverpa armigera ($H\"{u}bner$) occurring on different host plants prevailing in South India was studied using PCR-RAPD. Genomic DNA was isolated individually from five larvae collected from each of 10 different host plants (except in okra). PCR-RAPD analysis was carried out using a set of 20 random primers which had produced repeatable banding patterns from a original set of 60 primers. A set of 155 amplicon levels were available for analysis, of which 154 were polymorphic. An average of 7.75 bands per primer was recorded. Similarity coefficients based on the frequency of band sharing among host strains varied from 0.25 in cotton and sunflower to 0.72 in groundnut. Clustering analysis on the basis of the PCR-RAPD-generating band sharing indicated that most of the individuals occurring on niger, safflower, green gram, abutilon and lagasca clustered together, indicating greater genetic similarity among themselves, than those occurring on other crops. Furthermore, the pattern of genetic variation in the individuals collected from niger, safflower, green gram, groundnut, abutilon and lagasca was seem to be largely host-dependent.
Suvarna Patil,Fakrudin Bashasab,Vijaykumar,Basavanagoud,Mahaling S Kuruvinashetti,Basavaraj V Patil 한국응용곤충학회 2006 Journal of Asia-Pacific Entomology Vol.9 No.3
The genetic relatedness among Helicoverpa armigera (Hübner) occurring on different host plants prevailing in South India was studied using PCR- RAPD. Genomic DNA was isolated individually from five larvae collected from each of 10 different host plants (except in okra). PCR-RAPD analysis was carried out using a set of 20 random primers which had produced repeatable banding patterns from a original set of 60 primers. A set of 155 amplicon levels were available for analysis, of which 154 were polymorphic. An average of 7.75 bands per primer was recorded. Similarity coefficients based on the frequency of band sharing among host strains varied from 0.25 in cotton and sunflower to 0.72 in groundnut. Clustering analysis on the basis of the PCR-RAPD-generating band sharing indicated that most of the individuals occurring on niger, safflower, green gram, abutilon and lagasca clustered together, indicating greater genetic similarity among themselves, than those occurring on other crops. Furthermore, the pattern of genetic variation in the individuals collected from niger, safflower, green gram, groundnut, abutilon and lagasca was seem to be largely host-dependent.